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Revisiting Kneser’s theorem for field extensions

Author
Bachoc, C.; Serra, O.; Zemor, G.
Type of activity
Journal article
Journal
Combinatorica
Date of publication
2018-08
Volume
38
Number
4
First page
759
Last page
777
DOI
https://doi.org/10.1007/s00493-016-3529-0 Open in new window
Project funding
Discrete, geometric and random structures
Repository
http://hdl.handle.net/2117/114080 Open in new window
https://arxiv.org/abs/1510.01354 Open in new window
URL
https://link.springer.com/article/10.1007%2Fs00493-016-3529-0 Open in new window
Abstract
A Theorem of Hou, Leung and Xiang generalised Kneser’s addition Theorem to field extensions. This theorem was known to be valid only in separable extensions, and it was a conjecture of Hou that it should be valid for all extensions. We give an alternative proof of the theorem that also holds in the non-separable case, thus solving Hou’s conjecture. This result is a consequence of a strengthening of Hou et al.’s theorem that is inspired by an addition theorem of Balandraud and is obtained b...
Citation
Bachoc, C., Serra, O., Zemor, G. Revisiting Kneser’s theorem for field extensions. "Combinatorica", 31 Maig 2017.
Keywords
Additive combinatorics, linear versions
Group of research
GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics

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